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Popular >

derivative of sqrt(y-x)

Solution

\frac{d}{d x} (y - x)

Solution

\frac{\frac{d y}{d x} - 1}{2 y - x}

Solution steps

\frac{d}{d x} (y - x)

Apply the chain rule:

\frac{1}{2 y - x} \frac{d}{d x} (y - x)

= \frac{1}{2 y - x} \frac{d}{d x} (y - x)

\frac{d}{d x} (y - x) = \frac{d y}{d x} - 1

= \frac{1}{2 y - x} (\frac{d y}{d x} - 1)

Simplify

\frac{1}{2 y - x} (\frac{d y}{d x} - 1) : \frac{\frac{d y}{d x} - 1}{2 y - x}

= \frac{\frac{d y}{d x} - 1}{2 y - x}

Popular Examples

limit as x approaches 1 of (x^2)/(x^3-x)

x \to 1 lim (\frac{x ^{2}}{x ^{3} - x})

derivative of cos(xtan(x))

\frac{d}{d x} (cos (x) tan (x))

tangent of f(x)= x/(1+x^2),(2, 2/5)tangent of

f (x) = \frac{x}{1 + x ^{2}}, (2, \frac{2}{5})

derivative of 1/6 y^3+1/(2y)derivative of

\frac{1}{6} y^{3} + \frac{1}{2 y}

sum from n=1 to infinity of n/(4n+1)

n = 1 \sum \infty \frac{n}{4 n + 1}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(y-x) ?
The derivative of sqrt(y-x) is (\frac{dy)/(dx)-1}{2sqrt(y-x)}
What is the first derivative of sqrt(y-x) ?
The first derivative of sqrt(y-x) is (\frac{dy)/(dx)-1}{2sqrt(y-x)}